Figure 4.77 4.56 Energy Density. A point charge of magnitude q IC] is located at the...
A positive point charge Q is located in free-space at the center of a spherical conducting shell The conducting shell consists of two concentric spheres, with inner radius a and an outer radius b (b> a), shaded region as shown in figure below. a) (15 points) Determine electric flux density everywhere. b) (5 points) Determine electric potential at the inner radius of the conducting shell c) (5 points) What is the total charge at the inner surface at r=a? justify...
A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r and r2, respectively. A second thin spherical conducting shell of inner and outer radiR1 and R2. respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement. Φ 10.1 103 N·m2/C for r < r o for 2 Ф-38.7 x 103 N-m2/C forpsrcR1 Φ_Ofor R1 < r < R2 p -38.7 x...
A positive point charge of magnitude 2.6 HC is at the center of an uncharged spherical conducting shell of inner radius 65 cm and outer radius 110 cm (a) Find the charge densities on the inner and outer surfaces of the shel -0.49 0.17 μC/m2 (inner) μC ', /m2 (outer) Find the total charge on each surface 2.6 2.6 HC (inner) IC (outer) (b) Find the electric field everywhere Er 65 cm 23374 E65 < r< 110 cm0 r2 Er110...
please show steps and final answer A point charge Q [C] is located at a point in space. The charge is surrounded by two spherical layers of materials as shown below. Both-materials have permitivity's different than free space (82 > ε), as indicated: (a) Calculate the electric flux density and field intensity everywhere in space. (b) Calculate the potential everywhere in space. (c) Plot the electric field intensity and electric flux density everywhere in space. (d) Calculate the energy stored...
3. Select the correct sketch of the direction of dipole moment of pair of charges a) e b) 19 c) d) Consider two concentric conducting spherical shells. In the figure, the inner shell has an inner radius of a and an outer radius of b, and the outer shell has an inner radius of c and an outer radius of d. Inner shell carries an excess charge of-1q and outer shell carries 4. (4.1) The charge on the inner surface...
Two very long concentric cylindrical shells of radii r=0.05 m and R=0.1 m are located in air. The inner shell carries a uniformly distributed positive charge of linear density 2 nC/m. The outer shell carries a uniformly distributed negative charge of linear density -2 nC/m. Apply Gauss' Law to find the expression of the electric field at a point located at a distance x from the common axis, where r<x<R. Describe the chosen Gaussian surface.
Note the net Charge for q2 has a negative sign. Thank you 20. (10 points): In the figure below, a conducting sphere, of radius a 2.00 cm is concentric with a spherical conducting shell of inner radius b 2.00a and outer radius c 2.40a. The sphere has a net charge qi = +4.10 nC and the shell has a net charge of q2 =?8.22 nC. what is the charge density on the outer surface of the shell? 1 20. (10...
10.4) Thick insulating shell A thick insulating spherical shell has inner radius a and outer radius b. The shell carries a uniform volume charge density po. [A cross-sectional view of the shell is shown to the right.] (a) Consider a spherical Gaussian surface of radius r concentric with the shell. How much charge is enclosed in the Gaussian surface for p <a, a <r <b, and r > b? (b) What does symmetry dictate about the magnitude and direction of...
The figure shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge density +5.2 μC/m2 on its outer surface and radius 3.6 cm , shell 2 has uniform surface charge density +3.1 μC/m2 on its outer surface and radius 1.9 cm; the shell centers are separated by L = 11.5 cm. what is the x-component (with sign) of the net electric field at x = 2.1 cm? Shell Shell
The figure shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge density +6.0 μC/m2 on its outer surface and radius 4.3 cm; shell 2 has uniform surface charge density +4.8 μC/m2 on its outer surface and radius 2.1 cm; the shell centers are separated by L = 12.8 cm. What is the x-component (with sign) of the net electric field at x = 2.1 cm?